I love your input on this topic. Being able to communicate with the middle and high school students would be very useful. During certain tournaments we could use Skype which would allow them to be a part of the event without physically being there. This can also be useful to teach certain skills in various units.
I do not have any experience using skype in a P.E. setting but I do like the idea of it. If I were to use it I would try a competition between different schools in the district. For example, during a soccer unit we could compare skills between schools and challenge each other to different tricks, etc. Also, we have a dance unit known as ACES (All Children Exercise Simultaneously) in which all the schools in the district practice different dances and perform them on a particular day. Using Skype would be very beneficial in this unit because we could collaborate with another school to practice these dances.